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Finding the Fourth Proportional to 199,307.69, 275,056.86 and 114,437.51

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Solution

The fourth proportional to 199,307.69, 275,056.86 and 114,437.51 is: 157,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.69 : 275,056.86 = 114,437.51 : x
  2. Step 2: Convert to fraction form
    199,307.69/275,056.86 = 114,437.51/x
  3. Step 3: Cross multiply
    199,307.69x = 275,056.86 × 114,437.51
  4. Step 4: Simplify right side
    199,307.69x = 31,476,822,166.82
  5. Step 5: Solve for x
    x = 31,476,822,166.82/199,307.69
  6. Step 6: Final answer
    x = 157,930.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.